This article discusses the problem of interactive, computer-aided balancing of machining lines. A declarative model is sought, the software implementation of which in a constraint programming environment will enable the dispatcher to reconstruct production scenarios online, adapting them to the needs caused by both changes affecting production orders and disruptions affecting the process execution. The approach aligns with the principles of Lean manufacturing, aiming to reduce waste and enhance responsiveness in machining-based production systems. The practical possibilities of the proposed approach are illustrated on the example of a company carrying out orders requiring machining, such as in the production of rolling bearings or cast iron hubs. The computational experiments validate the proposed approach’s innovativeness, which stems from the open architecture of the adopted model that enables the incorporation of specific production conditions and requirements. Moreover, the results demonstrate the competitiveness of the method, as it supports real-time decision-making by the dispatcher, offering advantages over existing solutions.